Results 11 to 20 of about 63,489 (260)
Uniform asymptotic methods for integrals
Indagationes Mathematicae, 2013 31 pages, 3 ...
Nico M Temme
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Mathematics, 2023 Mathematical models of the nonlinear transversal oscillations for a beam moving along its axis have been studied. These models deal with the nonlinearity of body elastic properties and with the influence of physical–mechanical and kinematic parameters on
Andrii Slipchuk +2 more
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The asymptotic iteration method revisited [PDF]
Journal of Mathematical Physics, 2020 The asymptotic iteration method is a technique for solving analytically and approximately the linear second-order differential equation, especially the eigenvalue problems that frequently appear in theoretical and mathematical physics. The analysis and mathematical justifications of the success and failure of the asymptotic iteration method are ...
Mourad E. H. Ismail, Nasser Saad
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Asymptotic investigation of a nonlinear model of string vibrations
Lietuvos Matematikos Rinkinys, 2016 The mathematical model of nonlinear oscillations of a weightless string is analysed. The uniformly valid asymptotic approximation in the long time interval, which is inversely proportional to the small parameter, is constructed.
Olga Lavcel-Budko +2 more
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Asymptotic methods for solving boundary value eigenvalue problems [PDF]
E3S Web of Conferences, 2020 The aim of the study is an approximate construction with a given accuracy of solutions of boundary value problems for eigenvalues under various types of boundary conditions.
Zhukova Galina
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Weak resonances of periodical nonlinear oscillations
Lietuvos Matematikos Rinkinys, 2017 The mathematical model of nonlinear oscillations of weightless string is analyzed. Coefficients of the mathematical model and initial conditions are periodical functions of the space variable.
Olga Lavcel-Budko +1 more
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Optimization of a linear dynamic system with periodic changing parameters
Журнал Белорусского государственного университета: Математика, информатика, 2020 The article deals with the problem of optimal control of a linear dynamic system with periodic parameters. The qualitative theory of such problems is developed very fully if the period of coefficients of the system is not very small. With a small period,
Valerii V. Krakhotko +2 more
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Asymptotics of the Empirical Bootstrap Method Beyond Asymptotic Normality
CoRR, 2020 One of the most commonly used methods for forming confidence intervals for statistical inference is the empirical bootstrap, which is especially expedient when the limiting distribution of the estimator is unknown. However, despite its ubiquitous role, its theoretical properties are still not well understood for non-asymptotically normal estimators. In
Morgane Austern, Vasilis Syrgkanis
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Nonstationary Equations for the Reaction Layer with the Degenerate Equilibrium Points
Моделирование и анализ информационных систем, 2017 We consider a nonstationary process of spreading some substance in a one-dimensional spatially inhomogeneous system of cells. It is assumed that a change in the concentration of \(u_n (t)\) in a cell with the number \(n\) with time \(t\) is ...
Aleksei A. Bykov, Kristina E. Ermakova
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Asymptotic methods of nonlinear fracture mechanics: results, contemporary state and perspectives
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2013 In the paper the brief review of the important results of nonlinear fracture mechanics recently obtained by the asymptotic methods and perturbation techniques is given.
Larisa V Stepanova, Ekaterina M Adylina
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